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Finding the Third Proportional to 85,896 and 128,444

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Solution

The third proportional to 85,896 and 128,444 is: 192,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,896 : 128,444 = 128,444 : x
  2. Step 2: Convert to fraction form
    85,896/128,444 = 128,444/x
  3. Step 3: Cross multiply
    85,896x = 128,444 × 128,444
  4. Step 4: Simplify right side
    85,896x = 16,497,861,136
  5. Step 5: Solve for x
    x = 16,497,861,136/85,896
  6. Step 6: Final answer
    x = 192,067.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.